A Bass-Serre theoretic proof of a theorem of Romanovskii and Burns

A well known theorem of Romanovskii and Burns states that a free product of subgroup separable groups is itself subgroup separable. We provide a proof using the language of immersions and coverings of graphs of groups, due to Bass.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Andrew, N
Μορφή: Journal article
Γλώσσα:English
Έκδοση: Taylor & Francis 2022
Περιγραφή
Περίληψη:A well known theorem of Romanovskii and Burns states that a free product of subgroup separable groups is itself subgroup separable. We provide a proof using the language of immersions and coverings of graphs of groups, due to Bass.